The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic debonding. We start from a dynamic problem that strongly couples the wave equation in a time-dependent domain with Griffith's criterion for the evolution of the domain. Passing to the limit as inertia tends to zero, we find that the limit evolution satisfies a stability condition; however, the activation rule in Griffith's (quasistatic) criterion does not hold in general, thus the limit evolution is not rate-independent.
On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One / Lazzaroni, Giuliano*; Nardini, Lorenzo. - In: JOURNAL OF NONLINEAR SCIENCE. - ISSN 0938-8974. - STAMPA. - 28:(2018), pp. 269-304. [10.1007/s00332-017-9407-0]
On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Lazzaroni, Giuliano;
2018
Abstract
The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic debonding. We start from a dynamic problem that strongly couples the wave equation in a time-dependent domain with Griffith's criterion for the evolution of the domain. Passing to the limit as inertia tends to zero, we find that the limit evolution satisfies a stability condition; however, the activation rule in Griffith's (quasistatic) criterion does not hold in general, thus the limit evolution is not rate-independent.
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